scholarly journals Semi-streaming Algorithms for Submodular Matroid Intersection

2021 ◽  
pp. 208-222
Author(s):  
Paritosh Garg ◽  
Linus Jordan ◽  
Ola Svensson
Keyword(s):  
Streaming Algorithms ◽  
Matroid Intersection

Parallel algorithms for matroid intersection and matroid parity

2015 ◽  
Vol 07 (02) ◽  
pp. 1550019
Author(s):  
Jinyu Huang
Keyword(s):  
Parallel Algorithms ◽  
Polynomial Identity ◽  
Black Box ◽  
Matroid Intersection ◽  
Polynomial Identity Testing ◽  
Identity Testing ◽  
Common Base ◽  
Graphic Matroid ◽  
Matroid Parity ◽  
Nc Algorithms

A maximum linear matroid parity set is called a basic matroid parity set, if its size is the rank of the matroid. We show that determining the existence of a common base (basic matroid parity set) for linear matroid intersection (linear matroid parity) is in NC2, provided that there are polynomial number of common bases (basic matroid parity sets). For graphic matroids, we show that finding a common base for matroid intersection is in NC2, if the number of common bases is polynomial bounded. To our knowledge, these algorithms are the first deterministic NC algorithms for matroid intersection and matroid parity. We also give a new RNC2 algorithm that finds a common base for graphic matroid intersection. We prove that if there is a black-box NC algorithm for Polynomial Identity Testing (PIT), then there is an NC algorithm to determine the existence of a common base (basic matroid parity set) for linear matroid intersection (linear matroid parity).

Fair Coresets and Streaming Algorithms for Fair k-means

2020 ◽  
pp. 232-251
Author(s):  
Melanie Schmidt ◽  
Chris Schwiegelshohn ◽  
Christian Sohler
Keyword(s):  
Streaming Algorithms

scholarly journals RStorm: Developing and Testing Streaming Algorithms in R

The R Journal ◽  
2014 ◽  
Vol 6 (1) ◽  
pp. 123 ◽  
Author(s):  
Maurits Kaptein
Keyword(s):  
Streaming Algorithms
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